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Finding the Fourth Proportional to 334,570.86, 461,553.78 and 213,651.63

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Solution

The fourth proportional to 334,570.86, 461,553.78 and 213,651.63 is: 294,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,570.86 : 461,553.78 = 213,651.63 : x
  2. Step 2: Convert to fraction form
    334,570.86/461,553.78 = 213,651.63/x
  3. Step 3: Cross multiply
    334,570.86x = 461,553.78 × 213,651.63
  4. Step 4: Simplify right side
    334,570.86x = 98,611,717,429.66
  5. Step 5: Solve for x
    x = 98,611,717,429.66/334,570.86
  6. Step 6: Final answer
    x = 294,740.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.